Answer:
<h2>Q = -6</h2>
Step-by-step explanation:
If the solution of the system of equations is {(x, y): x - y = 4} - infinitely many solutions, then this system is consistent and dependent.
x - 3y = 4 <em>multiply both sides by 2</em>
2x - 6y = 8
Therefore Q = -6
The man's age is 57 years old.
To find this answer follow the steps below:
1. Subtract 29 from 200 to get 171.
2. Divide 171 by 3 to get 57.
To check this, use the equation 200 - (57 x 3) = 29.
1. 57 x 3 = 171. 200 - 171 = 29
2. 200 - 171 = 29. 29 = 29.
Thus meaning the man is 57 years old. I hope this helps!
In order to find the area for a strange shape, you divide it up into simpler figures. In this case, you already know that it can be divided into 4 triangles, so find the area of each triangle and add them up. Hope this helped!
Answer:
6 fingers
Step-by-step explanation:
Let X = the base of the numbers above
If X > 0
Then we have:
325 = 3 * X² + 2 * X¹ + 5 * X°
325 = 3X² + 2X + 5
42 = 4*X¹ + 2*X°
42 = 4X+ 2
And
411 = 4*X²+ 1*X¹ 1*X°
42 = 4X² + X + 1
Since 325 + 42= 11 then
3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms
3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0
-X² + 5X + 6 = 0 ------- Multiply both sides by -1
X² - 5X - 6 = 0 ------- Factorise the Equation
X² - 6X + X - 6 = 0
X(X - 6) + 1( X - 6) = 0
(X + 1)(X - 6) = 0
X + 1 = 0 or X - 6 = 0
X = -1 or X = 6
But X>0
So, X =-1 is invalid
X = 6
The expected number of fingers of the Martian is 6